Supersymmetric objects in the M-theory on a pp-wave | Zendy

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Supersymmetric objects in the M-theory on a pp-wave

Author(s) -

Jeong-Hyuck Park

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/10/032

Subject(s) - supersymmetry , fuzzy sphere , superalgebra , physics , mathematical physics , matrix model , matrix (chemical analysis) , supersymmetry algebra , m theory , theoretical physics , quantum mechanics , mathematics , pure mathematics , algebra over a field , supergravity , materials science , composite material , string (physics) , noncommutative geometry

We obtain, in a systematic way, all the classical BPS equations whichcorrespond to the quantum BPS states in the M-theory on a fully supersymmetricpp-wave. The superalgebra of the M-theory matrix model shows that the BPSstates always preserve pairs of supersymmetry, implying the possible fractionsof the unbroken supersymmetry as 2/16, 4/16, 6/16,.... We study their classicalcounterparts, and find there are essentially one unique set of 2/16 BPSequations, three inequivalent types of 4/16 BPS equations, and threeinequivalent types of 8/16 BPS equations only, in addition to the 16/16 staticfuzzy sphere. We discuss various supersymmetric objects as solutions. Inparticular, when the fuzzy sphere rotates, the supersymmetry is further brokenas 16/16 -> 8/16 -> 4/16.Comment: 1+25 pages, No figure, LaTeX, JHEP style; A reference and a comment on D0 adde

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